Details

sample89.0ms

Algorithm

intervals

Results

47.0ms

549×

body

valid

simplify144.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	66	15
1	204	14
2	631	14
3	1468	14
4	2464	14
5	3909	14
6	5001	14

prune10.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 5.4b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.7b	(* (* j 27.0) k)
3.9b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.7b	(* (* (* x 18.0) y) z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (* x 18.0) y)
7.0ms	(* (* j 27.0) k)
9.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

series176.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
111.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
26.0ms	(* (* (* x 18.0) y) z)

simplify65.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	406	472
1	2141	393
2	5001	393

prune526.0ms

Filtered

93 candidates to 53 candidates (57.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	81	12	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	12	94

Merged error: 2.9b

Counts

94 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.4b	(* j (* 27.0 k))
3.9b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.7b	(* (* (* x 18.0) y) z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (* x 18.0) y)
5.0ms	(* j (* 27.0 k))
9.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

series179.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
18.0ms	(* j (* 27.0 k))
112.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
30.0ms	(* (* (* x 18.0) y) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	398	471
1	2030	392
2	5001	392

prune292.0ms

Filtered

93 candidates to 53 candidates (57.0%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	93	12	105

Merged error: 2.9b

Counts

105 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.7b	(* (* j 27.0) k)
3.9b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
4.7b	(* (* x (* 18.0 y)) z)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

7.0ms	(* x (* 18.0 y))
5.0ms	(* (* j 27.0) k)
9.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
7.0ms	(* (* x (* 18.0 y)) z)

series180.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (* 18.0 y))
17.0ms	(* (* j 27.0) k)
112.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
32.0ms	(* (* x (* 18.0 y)) z)

simplify61.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	404	472
1	1945	393
2	5002	393

prune293.0ms

Filtered

93 candidates to 49 candidates (52.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	93	12	105

Merged error: 2.9b

Counts

105 → 12

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.7b	(* (* j 27.0) k)
3.9b	(* t (- (* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z) (* a 4.0)))
4.7b	(* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

36×	`pow1` `add-exp-log`
27×	`add-cbrt-cube`
23×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`associate-l`
4×	`add-log-exp`
3×	`cbrt-prod` `*-commutative`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow1/3` `flip--` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

1.0ms	(cbrt y)
5.0ms	(* (* j 27.0) k)
15.0ms	(* t (- (* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z) (* a 4.0)))
15.0ms	(* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z)

series378.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt y)
17.0ms	(* (* j 27.0) k)
142.0ms	(* t (- (* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z) (* a 4.0)))
48.0ms	(* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z)

simplify75.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	519	804
1	2535	631
2	5001	569

prune336.0ms

Filtered

95 candidates to 55 candidates (57.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	2	7	9
Picked	0	1	1
Done	0	2	2
Total	96	11	107

Merged error: 2.9b

Counts

107 → 11

regimes1.2s

Accuracy

35.2% (2.3b remaining)

Error of 4.8b against oracle of 2.4b and baseline of 6.0b

bsearch257.0ms

Steps

Iters	Range		Point
9	2.654008546103267e-213	2.4571251880438195e-205	2.3026784264643316e-205
8	-8.989974672903347e-152	-3.9151819887688166e-156	-1.1115042110684144e-153

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	25
1	72	25
2	75	25
3	75	25

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s

16053×

body

valid